Numerical Solutions for Differential Equations Using Matlab

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Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Cilt: 41 Sayı: 2
Numerical Solutions for Differential Equations Using Matlab

Numerical Solutions for Differential Equations Using Matlab

Authors : Bengü Çına

Pages : 616-630

View : 59 | Download : 35

Publication Date : 2025-08-30

Article Type : Research Paper

Abstract :The role of differential equations in modelling a range of phenomena across disciplines, including physics, engineering, biology and economics, is of great significance. Despite many differential equations can be solved analytically, others present a challenge in this regard. MATLAB can be employed to facilitate the resolution of these intricate equations. The aim of this study is to obtain numerical solutions of differential equations that have no analytical solutions or whose solutions are complex using MATLAB and to analyse the graphs of these solutions. In this way, we aim to gain a deeper understanding of the dynamic behaviour of the equations and their solution ranges. For this purpose, the ode45 function and the Runge-Kutta method will be mostly used.
Keywords : Ode45, Runge-Kutta Yöntemi, Dormand-Prince (4, 5), Matlab.

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